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Finding the Fourth Proportional to 805.94, 1,209.14 and 463.70

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Solution

The fourth proportional to 805.94, 1,209.14 and 463.70 is: 695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.94 : 1,209.14 = 463.70 : x
  2. Step 2: Convert to fraction form
    805.94/1,209.14 = 463.70/x
  3. Step 3: Cross multiply
    805.94x = 1,209.14 × 463.70
  4. Step 4: Simplify right side
    805.94x = 560,669.85
  5. Step 5: Solve for x
    x = 560,669.85/805.94
  6. Step 6: Final answer
    x = 695.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.